Pith Number

pith:MQOWJEIZ

pith:2023:MQOWJEIZAV75SFGRAPAG5PXA7A

not attested not anchored not stored refs pending

Quantitative global well-posedness of Boltzmann-Bose-Einstein equation and incompressible Navier-Stokes-Fourier limit

Ling-Bing He, Ning Jiang, Yu-Long Zhou

arxiv:2308.11453 v1 · 2023-08-22 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQOWJEIZAV75SFGRAPAG5PXA7A}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T06:43:34.947338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

641d649119057fd914d103c06ebee0f8033f29c6275694e803ff105145da543f

Aliases

arxiv: 2308.11453 · arxiv_version: 2308.11453v1 · doi: 10.48550/arxiv.2308.11453 · pith_short_12: MQOWJEIZAV75 · pith_short_16: MQOWJEIZAV75SFGR · pith_short_8: MQOWJEIZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MQOWJEIZAV75SFGRAPAG5PXA7A \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 641d649119057fd914d103c06ebee0f8033f29c6275694e803ff105145da543f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8efc10e5aa69806700b26fc1049c927c27b743d719a8c67056905d7dacc5a14",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-08-22T14:02:15Z",
    "title_canon_sha256": "8eb38ee5296543662b5c09c69873a41840c7fc0dfa5ae658ead30e6a30d2bcf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.11453",
    "kind": "arxiv",
    "version": 1
  }
}